Lead storage battery contains \(4.25 \mathrm{M}\) \(\mathrm{H}_2 \mathrm{SO}_4\) which has a density of \(1.24 \mathrm{~g} / \mathrm{ml}\). Calculate the molality of aqueous solution of \(\mathrm{H}_2 \mathrm{SO}_4\).

IUPAC name of \(\left[\mathrm{CrCl}_{2}\left(\mathrm{NH}_{3}\right)_{4}\right] \mathrm{NO}_{3}\) is

The molar conductivity of the complex \(\mathrm{CoCl}_3 \cdot 4 \mathrm{NH}_3 \cdot 2 \mathrm{H}_2 \mathrm{O}\) is found to be the same as that of a \(1: 3\) electrolyte. The structural formula of the compound is :

The essential amino acid are
(i) Leucine
(ii) Glutamic acid
(iii) Asparagine
(iv) Valine
correct option is

Entropy of the universe is

Which one of the following is an unsaturated fatty acid?

Which of the following is an INCORRECT match?

\(\mathrm{S}_8\) on heating at a temperature above \(1000 \mathrm{~K}\), changes to \(\mathrm{S}_2\). When 1 mole of \(\mathrm{S}_8\) is heated above \(1000 \mathrm{~K}\), the pressure falls by \(32 \%\) at equilibrium. The equilibrium constant for the conversion is:

Denatured alcohol is

Middle term in the expansion of \(\left(x^{2}+\dfrac{1}{x^{2}}+2\right)^{n}\) is

A wheel is free to rotate about a horizontal axis through O. A force of \(200 \mathrm{~N}\) is applied at a point \(\mathrm{P} 2 \mathrm{~cm}\) from the center \(\mathrm{O}\). OP makes an angle of \(55^{\circ}\) with \(\mathrm{x}\) axis and the force is in the plane of the wheel making an angle of \(25^{\circ}\) with the horizontal axis. What is the torque?

\(\frac{1}{2 \cdot 5}+\frac{1}{5 \cdot 8}+\frac{1}{8 \cdot 11}+\ldots \frac{1}{(3 n-1)(3 n+2)}=\)

Given below are 4 equations showing Molar conductivities at infinite dilution of various electrolytes. Which one of them represents the correct equation?
\(\begin{aligned}
& \left(\Lambda_m^0\right)_{N a B r}-\left(\Lambda_m^0\right)_{N a C l}=\left(\Lambda_m^0\right)_{\mathrm{KCl}}-\left(\Lambda_m^0\right)_{\mathrm{KBr}} \\
& \left(\Lambda_m^0\right)_{\mathrm{HCl}}+\left(\Lambda_m^0\right)_{\mathrm{KOH}}-\left(\Lambda_m^0\right)_{\mathrm{KCl}}=\left(\Lambda_m^0\right)_{\mathrm{H}_2 \mathrm{O}} \\
& \left(\Lambda_m^0\right)_{\mathrm{KBr}}-\left(\Lambda_m^0\right)_{\mathrm{NaBr}}=\left(\Lambda_m^0\right)_{\mathrm{NaBr}}-\left(\Lambda_m^0\right)_{\mathrm{Nal}} \\
& \left(\Lambda_m^0\right)_{N H_4 \mathrm{Cl}}-\left(\Lambda_m^0\right)_{\mathrm{NH}_4 \mathrm{NO}_3}=\left(\Lambda_m^0\right)_{N H_4 \mathrm{Cl}}-\left(\Lambda_m^0\right)_{N H 4 B r}
\end{aligned}\)